A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations

P. Pepe; I. Karafyllis; Z. P. Jiang

doi:10.1109/CDC.2007.4434273

A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations

P. Pepe, I. Karafyllis, Z. P. Jiang

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The input-to-state stability of time invariant systems described by coupled delay differential and difference equations is here investigated. A new Liapunov-Krasovskii theorem to check such type of stability is proved. An example taken from the literature, concerning an electrical circuit, is reported, showing the effectiveness of the methodology.

Original language	English (US)
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2077-2082
Number of pages	6
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4434273
State	Published - 2007
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: Dec 12 2007 → Dec 14 2007

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 12/14/07

Keywords

Functional differential equations
Input-to-state stability (ISS)
Liapunov-Krasovskii theorem
Nonlinear time-delay systems

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2007.4434273

Cite this

Pepe, P., Karafyllis, I., & Jiang, Z. P. (2007). A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 2077-2082). Article 4434273 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2007.4434273

A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations. / Pepe, P.; Karafyllis, I.; Jiang, Z. P.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 2077-2082 4434273 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Pepe, P, Karafyllis, I & Jiang, ZP 2007, A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434273, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 2077-2082, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434273

Pepe P, Karafyllis I, Jiang ZP. A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc. 2007. p. 2077-2082. 4434273. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2007.4434273

Pepe, P. ; Karafyllis, I. ; Jiang, Z. P. / A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations. Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. pp. 2077-2082 (Proceedings of the IEEE Conference on Decision and Control).

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A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations

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Keywords

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